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Bootstrapping the (A1, A2) Argyres-Douglas theory

Cornagliotto, Martina; Lemos, Madalena; Liendo, Pedro

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Martina Cornagliotto

Pedro Liendo


We apply bootstrap techniques in order to constrain the CFT data of the (A1, A2) Argyres-Douglas theory, which is arguably the simplest of the Argyres-Douglas models. We study the four-point function of its single Coulomb branch chiral ring generator and put numerical bounds on the low-lying spectrum of the theory. Of particular interest is an infinite family of semi-short multiplets labeled by the spin ℓ. Although the conformal dimensions of these multiplets are protected, their three-point functions are not. Using the numerical bootstrap we impose rigorous upper and lower bounds on their values for spins up to ℓ = 20. Through a recently obtained inversion formula, we also estimate them for sufficiently large ℓ, and the comparison of both approaches shows consistent results. We also give a rigorous numerical range for the OPE coefficient of the next operator in the chiral ring, and estimates for the dimension of the first R-symmetry neutral non-protected multiplet for small spin.


Cornagliotto, M., Lemos, M., & Liendo, P. (2018). Bootstrapping the (A1, A2) Argyres-Douglas theory. Journal of High Energy Physics, 2018(3), Article 033.

Journal Article Type Article
Acceptance Date Feb 6, 2018
Online Publication Date Mar 7, 2018
Publication Date 2018-03
Deposit Date Jun 4, 2020
Publicly Available Date Jun 9, 2020
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2018
Issue 3
Article Number 033


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